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Fractal models of elastic-perfectly plastic contact of rough surfaces based on the Cantor set. (English) Zbl 0869.73066
The objective was to formulate discrete and continuous models to describe the elastic-perfectly plastic deformation of two rough surfaces in contact. The two surfaces in contact are assumed to exhibit fractal behavior and are modeled as an effective fractal surface compressed into a smooth rigid subtrate. The rough self-affine fractal structure of the effective surface is approximated using a Cantor set representation. Both of the proposed models admit analytical solutions for the cases when the plastic deformation is volume conserving or not. Results are presented that illustrate the effects that volume conservation and initial surface structure have on the elastic-perfectly plastic deformation process.
MSC:
74A55Theories of friction (tribology)
74M15Contact (solid mechanics)
74C99Plastic materials, etc.
28A80Fractals